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Finding the Third Proportional to 245,030 and 519,436

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Solution

The third proportional to 245,030 and 519,436 is: 1,101,145.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,030 : 519,436 = 519,436 : x
  2. Step 2: Convert to fraction form
    245,030/519,436 = 519,436/x
  3. Step 3: Cross multiply
    245,030x = 519,436 × 519,436
  4. Step 4: Simplify right side
    245,030x = 269,813,758,096
  5. Step 5: Solve for x
    x = 269,813,758,096/245,030
  6. Step 6: Final answer
    x = 1,101,145.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.